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Pre-Algebra Worksheets - Free Printable

Pre-Algebra Worksheets

Educational worksheet: Pre-Algebra Worksheets. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Pre-Algebra Worksheets
Here are the solutions for each equation, solved step by step.

1. $1y + 8 = 17$
Subtract 8 from both sides: $y = 17 - 8$
$y = 9$

2. $59 = 8y + 3$
Subtract 3 from both sides: $56 = 8y$
Divide by 8: $y = 56 / 8$
$y = 7$

3. $54 = 9 + 9y$
Subtract 9 from both sides: $45 = 9y$
Divide by 9: $y = 45 / 9$
$y = 5$

4. $2 + 8y = 34$
Subtract 2 from both sides: $8y = 32$
Divide by 8: $y = 32 / 8$
$y = 4$

5. $61 = 5 + 7y$
Subtract 5 from both sides: $56 = 7y$
Divide by 7: $y = 56 / 7$
$y = 8$

6. $5y + 7 = 47$
Subtract 7 from both sides: $5y = 40$
Divide by 5: $y = 40 / 5$
$y = 8$

7. $9 = 8 + 1y$
Subtract 8 from both sides: $1 = y$
$y = 1$

8. $7 = 3y + 1$
Subtract 1 from both sides: $6 = 3y$
Divide by 3: $y = 6 / 3$
$y = 2$

9. $2y + 1 = 7$
Subtract 1 from both sides: $2y = 6$
Divide by 2: $y = 6 / 2$
$y = 3$

10. $4 + 4y = 16$
Subtract 4 from both sides: $4y = 12$
Divide by 4: $y = 12 / 4$
$y = 3$

11. $2y + 9 = 17$
Subtract 9 from both sides: $2y = 8$
Divide by 2: $y = 8 / 2$
$y = 4$

12. $4y + 7 = 15$
Subtract 7 from both sides: $4y = 8$
Divide by 4: $y = 8 / 4$
$y = 2$

13. $13 = 2y + 3$
Subtract 3 from both sides: $10 = 2y$
Divide by 2: $y = 10 / 2$
$y = 5$

14. $7y + 4 = 60$
Subtract 4 from both sides: $7y = 56$
Divide by 7: $y = 56 / 7$
$y = 8$

15. $1 + 2y = 17$
Subtract 1 from both sides: $2y = 16$
Divide by 2: $y = 16 / 2$
$y = 8$

16. $35 = 8 + 9y$
Subtract 8 from both sides: $27 = 9y$
Divide by 9: $y = 27 / 9$
$y = 3$

17. $1y + 8 = 16$
Subtract 8 from both sides: $y = 16 - 8$
$y = 8$

18. $9 = 2y + 5$
Subtract 5 from both sides: $4 = 2y$
Divide by 2: $y = 4 / 2$
$y = 2$

19. $46 = 6 + 8y$
Subtract 6 from both sides: $40 = 8y$
Divide by 8: $y = 40 / 8$
$y = 5$

20. $18 = 4 + 7y$
Subtract 4 from both sides: $14 = 7y$
Divide by 7: $y = 14 / 7$
$y = 2$

21. $14 = 4 + 2y$
Subtract 4 from both sides: $10 = 2y$
Divide by 2: $y = 10 / 2$
$y = 5$

22. $7y + 2 = 9$
Subtract 2 from both sides: $7y = 7$
Divide by 7: $y = 7 / 7$
$y = 1$

23. $2y + 6 = 24$
Subtract 6 from both sides: $2y = 18$
Divide by 2: $y = 18 / 2$
$y = 9$

24. $9y + 7 = 16$
Subtract 7 from both sides: $9y = 9$
Divide by 9: $y = 9 / 9$
$y = 1$

25. $4 + 2y = 22$
Subtract 4 from both sides: $2y = 18$
Divide by 2: $y = 18 / 2$
$y = 9$

26. $8y + 5 = 37$
Subtract 5 from both sides: $8y = 32$
Divide by 8: $y = 32 / 8$
$y = 4$

27. $16 = 9 + 1y$
Subtract 9 from both sides: $7 = y$
$y = 7$

28. $1 + 3y = 4$
Subtract 1 from both sides: $3y = 3$
Divide by 3: $y = 3 / 3$
$y = 1$

29. $54 = 7y + 5$
Subtract 5 from both sides: $49 = 7y$
Divide by 7: $y = 49 / 7$
$y = 7$

30. $28 = 6y + 4$
Subtract 4 from both sides: $24 = 6y$
Divide by 6: $y = 24 / 6$
$y = 4$

31. $7 + 5y = 22$
Subtract 7 from both sides: $5y = 15$
Divide by 5: $y = 15 / 5$
$y = 3$

32. $33 = 9 + 3y$
Subtract 9 from both sides: $24 = 3y$
Divide by 3: $y = 24 / 3$
$y = 8$

33. $56 = 7 + 7y$
Subtract 7 from both sides: $49 = 7y$
Divide by 7: $y = 49 / 7$
$y = 7$

34. $24 = 6 + 6y$
Subtract 6 from both sides: $18 = 6y$
Divide by 6: $y = 18 / 6$
$y = 3$

35. $8y + 5 = 13$
Subtract 5 from both sides: $8y = 8$
Divide by 8: $y = 8 / 8$
$y = 1$

36. $6 + 4y = 22$
Subtract 6 from both sides: $4y = 16$
Divide by 4: $y = 16 / 4$
$y = 4$

37. $4y + 2 = 10$
Subtract 2 from both sides: $4y = 8$
Divide by 4: $y = 8 / 4$
$y = 2$

38. $2 + 1y = 10$
Subtract 2 from both sides: $y = 10 - 2$
$y = 8$

39. $27 = 7 + 4y$
Subtract 7 from both sides: $20 = 4y$
Divide by 4: $y = 20 / 4$
$y = 5$

40. $16 = 1y + 7$
Subtract 7 from both sides: $9 = y$
$y = 9$

41. $3 + 6y = 21$
Subtract 3 from both sides: $6y = 18$
Divide by 6: $y = 18 / 6$
$y = 3$

42. $41 = 5 + 4y$
Subtract 5 from both sides: $36 = 4y$
Divide by 4: $y = 36 / 4$
$y = 9$

43. $37 = 7 + 5y$
Subtract 7 from both sides: $30 = 5y$
Divide by 5: $y = 30 / 5$
$y = 6$

44. $8 + 3y = 20$
Subtract 8 from both sides: $3y = 12$
Divide by 3: $y = 12 / 3$
$y = 4$

45. $8y + 4 = 60$
Subtract 4 from both sides: $8y = 56$
Divide by 8: $y = 56 / 8$
$y = 7$

46. $6y + 3 = 51$
Subtract 3 from both sides: $6y = 48$
Divide by 6: $y = 48 / 6$
$y = 8$

47. $19 = 3 + 4y$
Subtract 3 from both sides: $16 = 4y$
Divide by 4: $y = 16 / 4$
$y = 4$

48. $64 = 1 + 7y$
Subtract 1 from both sides: $63 = 7y$
Divide by 7: $y = 63 / 7$
$y = 9$

49. $52 = 8y + 4$
Subtract 4 from both sides: $48 = 8y$
Divide by 8: $y = 48 / 8$
$y = 6$

50. $9 + 3y = 12$
Subtract 9 from both sides: $3y = 3$
Divide by 3: $y = 3 / 3$
$y = 1$

51. $7y + 7 = 35$
Subtract 7 from both sides: $7y = 28$
Divide by 7: $y = 28 / 7$
$y = 4$

52. $36 = 5y + 1$
Subtract 1 from both sides: $35 = 5y$
Divide by 5: $y = 35 / 5$
$y = 7$

53. $3y + 3 = 21$
Subtract 3 from both sides: $3y = 18$
Divide by 3: $y = 18 / 3$
$y = 6$

54. $8 + 1y = 15$
Subtract 8 from both sides: $y = 15 - 8$
$y = 7$

55. $37 = 2 + 7y$
Subtract 2 from both sides: $35 = 7y$
Divide by 7: $y = 35 / 7$
$y = 5$

56. $4 + 3y = 7$
Subtract 4 from both sides: $3y = 3$
Divide by 3: $y = 3 / 3$
$y = 1$

57. $33 = 8 + 5y$
Subtract 8 from both sides: $25 = 5y$
Divide by 5: $y = 25 / 5$
$y = 5$

58. $7y + 1 = 43$
Subtract 1 from both sides: $7y = 42$
Divide by 7: $y = 42 / 7$
$y = 6$

59. $8y + 3 = 75$
Subtract 3 from both sides: $8y = 72$
Divide by 8: $y = 72 / 8$
$y = 9$

60. $23 = 2 + 7y$
Subtract 2 from both sides: $21 = 7y$
Divide by 7: $y = 21 / 7$
$y = 3$

61. $9y + 2 = 83$
Subtract 2 from both sides: $9y = 81$
Divide by 9: $y = 81 / 9$
$y = 9$

62. $8 + 4y = 16$
Subtract 8 from both sides: $4y = 8$
Divide by 4: $y = 8 / 4$
$y = 2$

63. $3y + 6 = 27$
Subtract 6 from both sides: $3y = 21$
Divide by 3: $y = 21 / 3$
$y = 7$

64. $18 = 1y + 9$
Subtract 9 from both sides: $9 = y$
$y = 9$

65. $56 = 8 + 8y$
Subtract 8 from both sides: $48 = 8y$
Divide by 8: $y = 48 / 8$
$y = 6$

66. $23 = 2 + 3y$
Subtract 2 from both sides: $21 = 3y$
Divide by 3: $y = 21 / 3$
$y = 7$

67. $59 = 5 + 9y$
Subtract 5 from both sides: $54 = 9y$
Divide by 9: $y = 54 / 9$
$y = 6$

68. $14 = 6 + 4y$
Subtract 6 from both sides: $8 = 4y$
Divide by 4: $y = 8 / 4$
$y = 2$

69. $8y + 1 = 41$
Subtract 1 from both sides: $8y = 40$
Divide by 8: $y = 40 / 8$
$y = 5$

70. $1y + 5 = 10$
Subtract 5 from both sides: $y = 10 - 5$
$y = 5$

71. $1 + 6y = 25$
Subtract 1 from both sides: $6y = 24$
Divide by 6: $y = 24 / 6$
$y = 4$

72. $8y + 2 = 50$
Subtract 2 from both sides: $8y = 48$
Divide by 8: $y = 48 / 8$
$y = 6$

Final Answer:
1. 9
2. 7
3. 5
4. 4
5. 8
6. 8
7. 1
8. 2
9. 3
10. 3
11. 4
12. 2
13. 5
14. 8
15. 8
16. 3
17. 8
18. 2
19. 5
20. 2
21. 5
22. 1
23. 9
24. 1
25. 9
26. 4
27. 7
28. 1
29. 7
30. 4
31. 3
32. 8
33. 7
34. 3
35. 1
36. 4
37. 2
38. 8
39. 5
40. 9
41. 3
42. 9
43. 6
44. 4
45. 7
46. 8
47. 4
48. 9
49. 6
50. 1
51. 4
52. 7
53. 6
54. 7
55. 5
56. 1
57. 5
58. 6
59. 9
60. 3
61. 9
62. 2
63. 7
64. 9
65. 6
66. 7
67. 6
68. 2
69. 5
70. 5
71. 4
72. 6
Parent Tip: Review the logic above to help your child master the concept of simple algebra worksheets.
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